How do I delete a news source in Apple News?
Even after you set up and customize your Apple News app it still may serve you articles from sources you do not want to read. You can easily mute these sources by tapping an article in your news feed and swiping up. This will open a menu screen with the options Like, Save, Share Story, Mute Channel. Just tap the Mute Channel panel and stories from that source will no longer appear in your For You or topic feeds.